that does not imply one being the subset of the other to me, if anything they are clearly defined and therefore clearly separate.
Trump refuses to answer simple questions and attacks and mocks reporters, that's if they're lucky and he doesn't directly sue them for millions/billions. Hell, the white house banned Associated Press. Is that free speech or freedom of the press?
None of this says anything about Americans' right to speak freely, which is absolute, unlike in any European country.